I think there’s some misconceptions out there about how translations work. It’s not as if we don’t have thousands upon thousands of Greek manuscripts, some dating backing to the early 2nd/even late 1st century. There are complete copies of the NT as early as the 4th century. The disagreements between these are usually matters of spelling, a word omitted here or there, a line skipped-basic human error. There are a few places where a verse or even a paragraph might appear in one manuscript and not another, but even these are nearly all insignificant. With the tools of textual criticism, we have a good idea of what the text originally said 99% of the time. And working from a common critical Greek text, no one is then just making up a translation out of whole cloth or anything. Most differences in various versions relate to how literal vs. functional the translation philosophy is.
That said, there actually is one key issue in this verse that you’ll see reflected in those versions, and they both are good translations of the Greek: “All Scripture is God-breathed…” is most common; but it’s also possible to render it “Every Scripture breathed out by God is…”
The former makes a statement about the nature of Scripture itself; the latter could be construed as saying the “God-breathed” Scripture is useful, but you have to separate that from the rest. So it kind of cuts to the heart of the issue you guys were discussing.